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3=2^{2}+1^{2}-2\times 2x
The square of \sqrt{3} is 3.
3=4+1^{2}-2\times 2x
Calculate 2 to the power of 2 and get 4.
3=4+1-2\times 2x
Calculate 1 to the power of 2 and get 1.
3=5-2\times 2x
Add 4 and 1 to get 5.
3=5-4x
Multiply 2 and 2 to get 4.
5-4x=3
Swap sides so that all variable terms are on the left hand side.
-4x=3-5
Subtract 5 from both sides.
-4x=-2
Subtract 5 from 3 to get -2.
x=\frac{-2}{-4}
Divide both sides by -4.
x=\frac{1}{2}
Reduce the fraction \frac{-2}{-4} to lowest terms by extracting and canceling out -2.